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Find the greatest common factor.\newline6b3,9b6b^3, 9b\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_

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Full solution

Q. Find the greatest common factor.\newline6b3,9b6b^3, 9b\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factor 99b: Factor 9b9b. \newline9=3×39 = 3 \times 3\newlineb=bb = b\newlineSo, 9b=3×3×b9b = 3 \times 3 \times b
  2. Identify common factors: Identify the common factors of 6b36b^3 and 9b9b. From the factorization, we can see that the common factors are 33 and bb.
  3. Multiply to find GCF: Multiply the common factors to find the GCF.\newlineThe GCF is 3×b=3b3 \times b = 3b.

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